Solve for x -5/2(6x+24)=x-12

$- \frac{5}{2} (6 x + 24) = x - 12$

Simplify $- \frac{5}{2} \cdot (6 x + 24)$ .

Rewrite.

$0 + 0 - \frac{5}{2} \cdot (6 x + 24) = x - 12$

Simplify by adding zeros.

$- \frac{5}{2} \cdot (6 x + 24) = x - 12$

Apply the distributive property.

$- \frac{5}{2} (6 x) - \frac{5}{2} \cdot 24 = x - 12$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} (6 x) - \frac{5}{2} \cdot 24 = x - 12$

Factor $2$ out of $6 x$ .

$\frac{- 5}{2} (2 (3 x)) - \frac{5}{2} \cdot 24 = x - 12$

Cancel the common factor.

$\frac{- 5}{2} (2 (3 x)) - \frac{5}{2} \cdot 24 = x - 12$

Rewrite the expression.

$- 5 (3 x) - \frac{5}{2} \cdot 24 = x - 12$

Multiply $3$ by $- 5$ .

$- 15 x - \frac{5}{2} \cdot 24 = x - 12$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$- 15 x + \frac{- 5}{2} \cdot 24 = x - 12$

Factor $2$ out of $24$ .

$- 15 x + \frac{- 5}{2} \cdot (2 (12)) = x - 12$

Cancel the common factor.

$- 15 x + \frac{- 5}{2} \cdot (2 \cdot 12) = x - 12$

Rewrite the expression.

$- 15 x - 5 \cdot 12 = x - 12$

Multiply $- 5$ by $12$ .

$- 15 x - 60 = x - 12$

Move all terms containing $x$ to the left side of the equation.

Subtract $x$ from both sides of the equation.

$- 15 x - 60 - x = - 12$

Subtract $x$ from $- 15 x$ .

$- 16 x - 60 = - 12$

Move all terms not containing $x$ to the right side of the equation.

Add $60$ to both sides of the equation.

$- 16 x = - 12 + 60$

Add $- 12$ and $60$ .

$- 16 x = 48$

Divide each term in $- 16 x = 48$ by $- 16$ and simplify.

Divide each term in $- 16 x = 48$ by $- 16$ .

$\frac{- 16 x}{- 16} = \frac{48}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 x}{- 16} = \frac{48}{- 16}$

Divide $x$ by $1$ .

$x = \frac{48}{- 16}$

Simplify the right side.

Divide $48$ by $- 16$ .

$x = - 3$

Solve for x -5/2(6x+24)=x-12

Related Questions

Support LCMGCF.com by disabling your adblocker.